Question

Solve AND graph the inequality below. −2x−4≤11

Answer 1

`x\ge \:-(15)/(2)`

The graph of the inequality is attached below.

Explanation:

Given the inequality

`-2x-4\le 11`

`\mathrm{Add\:}4\mathrm{\:to\:both\:sides}`

`-2x-4+4\le \:11+4`

`-2x\le \:15`

`\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}`

`\left(-2x\right)\left(-1\right)\ge \:15\left(-1\right)`

`2x\ge \:-15`

`\mathrm{Divide\:both\:sides\:by\:}2`

`(2x)/(2)\ge (-15)/(2)`

`x\ge \:-(15)/(2)`

The graph of the inequality is attached below.